Pith Number

pith:C54IUJ2R

pith:2014:C54IUJ2R3I5O54YG5ZT4TTRNM7

not attested not anchored not stored refs pending

Independence relations in randomizations

H. Jerome Keisler, Isaac Goldbring, Uri Andrews

arxiv:1409.1531 v1 · 2014-09-04 · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C54IUJ2R3I5O54YG5ZT4TTRNM7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:43:26.701977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17788a2751da3aeef306ee67c9ce2d67efb978a101730f7f09c7a397ea6a9872

Aliases

arxiv: 1409.1531 · arxiv_version: 1409.1531v1 · doi: 10.48550/arxiv.1409.1531 · pith_short_12: C54IUJ2R3I5O · pith_short_16: C54IUJ2R3I5O54YG · pith_short_8: C54IUJ2R

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/C54IUJ2R3I5O54YG5ZT4TTRNM7 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 17788a2751da3aeef306ee67c9ce2d67efb978a101730f7f09c7a397ea6a9872

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "546895b44299e8bccb81c178ebada1b8c457128222120bbcaef4b844cd7a1c70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-09-04T18:53:04Z",
    "title_canon_sha256": "2736407d2ade1da111addb3cd898e95cdc06e2a5eea119f63e451c78892fdb68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1531",
    "kind": "arxiv",
    "version": 1
  }
}